GCF of 9572/814, 6482/8122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9572/814, 6482/8122 i.e 2/3305654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9572/814, 6482/8122.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9572/814,6482/8122?
Given fractions are 9572/814,6482/8122
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9572/814,6482/8122, numerators are 9572,6482
Denominators are 814,8122
The GCF of 9572,6482 is 2 .
LCM of 814,8122 is 3305654.
The greatest common factor of 9572/814,6482/8122 = [GCF of 9572,6482]/[LCM of 814,8122]= 2/3305654
Therefore, the GCF of 9572/814,6482/8122 is 2/3305654.
To find the highest common factor of 9572,6482, we have to find the factors of both numbers and list the highest common factor.
The factors of 9572 are 1, 2, 4, 2393, 4786, 9572
The factors of 6482 are 1, 2, 7, 14, 463, 926, 3241, 6482
The HCF of 9572,6482 is 2.
Lets's calculate GCF of 9572,6482
| 2 | 9572, 6482 |
| 4786, 3241 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9572,6482 By Matching Biggest Common Factor Method
Now, list down the factors of 9572
:1,2,4,2393,4786,9572
Now, list down the factors of 6482
:1,2,7,14,463,926,3241,6482
Greatest Common Factor
We found the factors 9572,6482 . The biggest common factor number is the GCF number.
So the greatest common factor 9572,6482 is 2.
Lets's calculate LCM of 814,8122
| 2 | 814, 8122 |
| 407, 4061 |
∴ So the LCM of the given numbers is 2 x 407 x 4061 = 3305654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3305654
Therefore, the GCF of Fractions 9572/814,6482/8122 is 2/3305654
Least Common Multiple of 814,8122 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 814,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,8122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,8122) x common factors =2 x 1 = 2
LCM(814,8122) = ( 814 × 8122 ) / 2
LCM(814,8122) = 6611308 / 2
LCM(814,8122) = 3305654
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FAQs on GCF of Fractions of 9572/814, 6482/8122
1. What is the HCF of 9572,6482?
The HCF of 9572,6482 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9572/814, 6482/8122?
Answer: GCF of Numerators as per given numbers 9572/814, 6482/8122 is
GCF of Numerators i.e. for 9572,6482 is 2
LCM of denominators i.e. for 814,8122 is 3305654.
Thus, GCF of Fractions is 2/3305654.Finally, GCF of Fractions for 9572/814, 6482/8122 is 2/3305654.